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Compressor Power Calculator — Isentropic Gas Compression
Estimate ideal and shaft power plus discharge temperature for ideal-gas isentropic compression.
Last updated: September 17, 2026
Results
Check positive absolute state inputs, k>1 and efficiency 0–100%
Formula, example and assumptions
Ws=ṁ·k/(k−1)·R·T1·[(P2/P1)^((k−1)/k)−1]; Wshaft=Ws/η.
Air at 1 kg/s, 300 K, pressure ratio 4 and η=80% requires roughly 183 kW shaft power.
- Ideal-gas constant-k model with inlet-state properties.
- Pressure inputs must both be absolute and use the same units.
Frequently asked questions
What does this Compressor Power Calculator solve?
Estimate ideal and shaft power plus discharge temperature for ideal-gas isentropic compression.
Which units should I use?
Use the SI units shown beside each input. The results also expose practical converted outputs where useful.
Can I use this for final equipment selection?
Use it for transparent engineering estimates and cross-checks. Confirm fluid properties, manufacturer curves and applicable design codes before final selection.